Presentation is loading. Please wait.

Presentation is loading. Please wait.

Properties of Rational Functions

Similar presentations


Presentation on theme: "Properties of Rational Functions"— Presentation transcript:

1 Properties of Rational Functions
Section 5.4 Properties of Rational Functions

2

3 OBJECTIVE 1

4 { x | x ≠ -2 , x ≠ -6 } { x | x ≠ -4 } All Reals All Reals { x | x ≠ -2 }

5

6

7

8

9

10

11

12

13 OBJECTIVE 2

14

15 x = - 3 x = 2 and x = - 2 x = - 1 and x = - 4 x = 2

16 OBJECTIVE 3

17 A rational function R(x) is proper if the degree of the
numerator is less than the degree of the denominator.

18 y = 0 is the horizontal asymptote
Degree of numerator < degree of denominator y = 0 is the horizontal asymptote

19 2 Degree of numerator = degree of denominator , y = 2x2 /x2 = 2 y = 2
___________________ Degree of numerator = degree of denominator , y = 2x2 /x2 = 2

20 Degree of numerator = degree of denominator , y = 5x6 /2x6 = 5/2

21 x + 6 Oblique Asymptote is y = x + 6 ____________ __________ 13

22

23


Download ppt "Properties of Rational Functions"

Similar presentations


Ads by Google